Problemas
Feb 24 -28, 2025 2. What is a function? 4. Determine the Domain and Range. Is it a function? (-4,2),(-2,6),(0,3),(3,7),(5,1) D: R:1 Is it a function? __
Roztwór
Constanza
veterano · Tutor durante 11 años
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(229 Votos)
Respuesta
1. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.2. D: \{-4, -2, 0, 3, 5\}3. R: \{2, 6, 3, 7, 1\}4. Yes
Explicación
1. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. In other words, for every x-value, there is only one y-value.2. The given set of ordered pairs is \(\{ (-4,2),(-2,6),(0,3),(3,7),(5,1)\} \). The domain (D) of a function is the set of all possible input values (x-values), which are the first elements of the ordered pairs. In this case, the domain is \{-4, -2, 0, 3, 5\}.3. The range (R) of a function is the set of all possible output values (y-values), which are the second elements of the ordered pairs. In this case, the range is \{2, 6, 3, 7, 1\}.4. To determine if the given set of ordered pairs is a function, we need to check if each x-value is paired with only one y-value. Since no x-value is repeated in the given set of ordered pairs, it is a function.